College Math Placement Test College Math Placement Test Number Theory 2

Question 1

What is the prime factorization of 180?

Accepted Answer

2² × 3² × 5

Answer

2 × 3 × 5²

Answer

2³ × 3 × 5

Answer

2² × 3 × 5²

Question 2

Which pair of numbers is relatively prime (coprime)?

Accepted Answer

14 and 27

Answer

12 and 16

Answer

15 and 25

Answer

18 and 24

Question 3

A number is divisible by 6 if and only if it is:

Accepted Answer

Divisible by both 2 and 3

Answer

Divisible by 2 only

Answer

Divisible by 3 only

Answer

Divisible by 12

Question 4

What is the LCM of 6, 10, and 15?

Accepted Answer

30

Answer

60

Answer

90

Answer

150

Question 5

How many positive divisors does 100 have?

Accepted Answer

9

Answer

7

Answer

8

Answer

10

Question 6

What is the remainder when 2²⁰ is divided by 7?

Accepted Answer

1

Answer

2

Answer

4

Answer

6